On the existence of a single test module

DOI10.1016/J.JPAA.2018.11.008zbMath1474.13024OpenAlexW2900148357WikidataQ128971918 ScholiaQ128971918MaRDI QIDQ1739176

Sang Bum Lee

Publication date: 25 April 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.11.008

zbMATH Keywords

\(R\)-complete modulesMatlis category equivalenceMatlis-, Enochs- and Warfield-cotorsion modulesprojective, injective and flat dimensionpure-injective and weak-injective modulesWhitehead and strongly flat modules

Mathematics Subject Classification ID

Other special types of modules and ideals in commutative rings (13C13) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (1)

On subinjectivity domains of RD-injective modules

Cites Work

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• When all reduced strongly flat modules are projective
• \(h\)-divisible modules over integral domains
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• Relative homological algebra
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• A note on the Matlis category equivalence
• Weak-injectivity and almost perfect domains
• Weak-Injective Modules of Weak Dimension at Most One
• ALL MODULES HAVE FLAT COVERS
• The Functor Hom and Cotorsion Theories
• Almost perfect domains
• Whitehead test modules
• Weak-Injective Modules
• Strongly Flat Modules over Matlis Domains
• An independence result on cotorsion theories over valuation domains

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